DirectionsMelt the butter in a 2-quart saucepan over low heat. Set aside to cool slightly.

Sift together the flour, salt and baking soda into a medium bowl.

Pour the butter into your stand mixer's work bowl. Add the sugar and brown sugar and beat with the paddle attachment on medium speed for 2 minutes.

Meanwhile, whisk together the whole egg, the egg yolk, milk and vanilla extract in a measuring cup. Reduce the mixer speed and slowly add the egg mixture. Mix until thoroughly combined, about 30 seconds.

Gradually integrate the dry ingredients, stopping a couple of times to scrape down the sides of the bowl. Once the flour is worked in, drop the speed to "stir" and add the chocolate chips and nuts.

Chill the dough for 1 hour.

Preheat the oven to 375 degrees F and place racks in the top third and bottom third of the oven.
Scoop the dough into 1 1/2-ounce portions (size of a golf ball) onto parchment-lined half sheet pans, 6 cookies per sheet.

Bake 2 sheets at a time for 15 minutes, rotating the pans halfway through. Remove from the oven, let the cookies rest on the baking sheet for 5 minutes before removing the cookies to cool on a wire rack.